263345280 has 256 divisors, whose sum is σ = 943263360. Its totient is φ = 61931520.

The previous prime is 263345273. The next prime is 263345281. The reversal of 263345280 is 82543362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263345281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781272 + ... + 781608.

Almost surely, 2^263345280 is an apocalyptic number.

263345280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471631680).

263345280 is an abundant number, since it is smaller than the sum of its proper divisors (679918080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263345280 is a wasteful number, since it uses less digits than its factorization.

263345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 263345280 is about 16227.9166869934. The cubic root of 263345280 is about 640.9761146601.

It can be divided in two parts, 263 and 345280, that added together give a palindrome (345543).

The spelling of 263345280 in words is "two hundred sixty-three million, three hundred forty-five thousand, two hundred eighty".